Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculus problem

  1. Oct 11, 2004 #1
    I have this calculus challenge problem (found here: http://firstyr.appsci.queensu.ca/apsc171/chall1.pdf [Broken])

    I was able to answer part a and b, however I am unsure how to approach c and onwards

    does anyone have any suggestions?
    Last edited by a moderator: May 1, 2017
  2. jcsd
  3. Oct 11, 2004 #2


    User Avatar
    Science Advisor
    Homework Helper

    Is it not just a matter or letting in your equation: [itex]\varepsilon = \varepsilon + \Delta \varepsilon[/tex]

    So you have:

    [tex]V(x) = x^4 - 4x^3 + (\varepsilon + \Delta \varepsilon)x^2 + \delta x + 5[/tex]

    Differentiating the above with respect to x, knowing that [itex]\delta x = 0[/itex] then equalising to 0 and solving for x and rearranging for [itex]\Delta \varepsilon[/itex]? Not entirely sure what the question is asking so not sure.

    Although thinking about it you would probably have to show which V'(x) = 0 is the minimum.
  4. Oct 11, 2004 #3
    any other suggestions people?
    I still seem to be having trouble
  5. Oct 12, 2004 #4
    What is your trouble ?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook